3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices

3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices

We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node semimetal. In the presence of strong interactions, we show tha...

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Veröffentlicht in:arXiv.org 2017-08
Hauptverfasser: Kim, Sang Wook, Seo, Kangjun, Uchoa, Bruno
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Fermions
Lattice parameters
Lattices
Physics - Strongly Correlated Electrons
Quantum Hall effect
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description We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node semimetal. In the presence of strong interactions, we show that the system can be unstable to a 3D quantum anomalous Hall phase with loop currents that break time reversal symmetry, as in the Haldane model. We find that the low energy excitations of this state are Weyl fermions connected by surface Fermi arcs. We show that the 3D anomalous Hall conductivity is \(e^{2}/(\sqrt{3}ah)\), with \(a\) the lattice constant.
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subjects Fermions
Lattice parameters
Lattices
Physics - Strongly Correlated Electrons
Quantum Hall effect
title 3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices
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